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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.20160 |
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| _version_ | 1866916922714488832 |
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| author | Fardelli, Giulia Fitzpatrick, A. Liam Li, Wei |
| author_facet | Fardelli, Giulia Fitzpatrick, A. Liam Li, Wei |
| contents | We show how to construct a holographic effective theory for the leading-twist operators in the $O(2)$ model in the $4-d=ε$ expansion up to $O(ε^2)$, based on the separation of short-distance and long-distance effects that arises as a function of spin $J$. We obtain the Hamiltonian of the theory and show that it correctly reproduces all the dimensions at $O(ε^2)$ of the leading twist operators for all values of the charge $Q$ and spin $J$. The holographic Hamiltonian is given by the bulk exchange of a charged scalar $ϕ$, neutral scalar $s \sim ϕϕ^*$, and a `ghost' field $c$, as well as a single local bulk interaction $(ϕϕ^*)^2$. We analyze various aspects of the spectrum and discuss their interpretation in light of the bulk description. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20160 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Towards Large-Spin Effective Theory II: $O(2)$ model in $d=4-ε$ Fardelli, Giulia Fitzpatrick, A. Liam Li, Wei High Energy Physics - Theory Statistical Mechanics We show how to construct a holographic effective theory for the leading-twist operators in the $O(2)$ model in the $4-d=ε$ expansion up to $O(ε^2)$, based on the separation of short-distance and long-distance effects that arises as a function of spin $J$. We obtain the Hamiltonian of the theory and show that it correctly reproduces all the dimensions at $O(ε^2)$ of the leading twist operators for all values of the charge $Q$ and spin $J$. The holographic Hamiltonian is given by the bulk exchange of a charged scalar $ϕ$, neutral scalar $s \sim ϕϕ^*$, and a `ghost' field $c$, as well as a single local bulk interaction $(ϕϕ^*)^2$. We analyze various aspects of the spectrum and discuss their interpretation in light of the bulk description. |
| title | Towards Large-Spin Effective Theory II: $O(2)$ model in $d=4-ε$ |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2508.20160 |